The total time on the critical path is (type number only, no text) 4 Previous

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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### Critical Path Method (CPM)

#### Calculating the Total Time on the Critical Path

The Critical Path Method (CPM) is an essential project management tool used to schedule a set of project activities. 

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**Step 8: Determine the Total Time on the Critical Path**

To find out the total time on the critical path, you need to add up the duration of each critical activity from the start to the finish of the project. 

**Input**: Enter the total time on the critical path. Please type the number only, without any additional text.

---

![Critical Path](image.png)

*(Input Box for the Total Time)*

---

**Navigation**:
- [Previous](#) - Go back to the previous step

By understanding the critical path, you can identify which tasks directly impact the project completion date. Careful management of these tasks ensures timely project completion.

#### Key Points
- Only tasks on the critical path affect the project's end date.
- Any delay in critical path tasks will delay the entire project.
- Properly managing resources and time on critical activities is crucial for project success.

Keep this information in mind as you continue to assign durations to project tasks and maintain a clear workflow to ensure successful project completion.
Transcribed Image Text:### Critical Path Method (CPM) #### Calculating the Total Time on the Critical Path The Critical Path Method (CPM) is an essential project management tool used to schedule a set of project activities. --- **Step 8: Determine the Total Time on the Critical Path** To find out the total time on the critical path, you need to add up the duration of each critical activity from the start to the finish of the project. **Input**: Enter the total time on the critical path. Please type the number only, without any additional text. --- ![Critical Path](image.png) *(Input Box for the Total Time)* --- **Navigation**: - [Previous](#) - Go back to the previous step By understanding the critical path, you can identify which tasks directly impact the project completion date. Careful management of these tasks ensures timely project completion. #### Key Points - Only tasks on the critical path affect the project's end date. - Any delay in critical path tasks will delay the entire project. - Properly managing resources and time on critical activities is crucial for project success. Keep this information in mind as you continue to assign durations to project tasks and maintain a clear workflow to ensure successful project completion.
### Constructing an AON Project Network

To construct an Activity on Node (AON) project network, follow the outlined activities and their respective predecessors and durations as illustrated in the table below:

| Activity | Activity Predecessor | Time (months) |
|----------|----------------------|---------------|
|    1     |          —           |       4       |
|    2     |          —           |       7       |
|    3     |          1           |       8       |
|    4     |          1           |       3       |
|    5     |          2           |       9       |
|    6     |          3           |       5       |
|    7     |          3           |       2       |
|    8     |      4, 5, 6         |       6       |
|    9     |          2           |       5       |

**Analyzing the Project Network:**

In this analysis, you need to determine which of the possible paths in the network is a critical path. The critical path is the sequence of project network activities which add up to the longest overall duration, determining the shortest time possible to complete the project.

**Question:**
Which of the following is a critical path?

- O 2 -> 5 -> 8
- O 1 -> 4 -> 8
- O 1 -> 3 -> 7
- O 1 -> 3 -> 6 -> 8

The correct critical path in the given network is:
- **1 -> 4 -> 8**

This path has been selected based on the analysis of the project activities and their dependencies, ensuring that the longest duration path is identified.

For educational purposes, it's imperative to remember that the critical path method (CPM) not only helps in project scheduling but also in resource allocation, as it highlights the most critical activities to monitor to avoid project delays.
Transcribed Image Text:### Constructing an AON Project Network To construct an Activity on Node (AON) project network, follow the outlined activities and their respective predecessors and durations as illustrated in the table below: | Activity | Activity Predecessor | Time (months) | |----------|----------------------|---------------| | 1 | — | 4 | | 2 | — | 7 | | 3 | 1 | 8 | | 4 | 1 | 3 | | 5 | 2 | 9 | | 6 | 3 | 5 | | 7 | 3 | 2 | | 8 | 4, 5, 6 | 6 | | 9 | 2 | 5 | **Analyzing the Project Network:** In this analysis, you need to determine which of the possible paths in the network is a critical path. The critical path is the sequence of project network activities which add up to the longest overall duration, determining the shortest time possible to complete the project. **Question:** Which of the following is a critical path? - O 2 -> 5 -> 8 - O 1 -> 4 -> 8 - O 1 -> 3 -> 7 - O 1 -> 3 -> 6 -> 8 The correct critical path in the given network is: - **1 -> 4 -> 8** This path has been selected based on the analysis of the project activities and their dependencies, ensuring that the longest duration path is identified. For educational purposes, it's imperative to remember that the critical path method (CPM) not only helps in project scheduling but also in resource allocation, as it highlights the most critical activities to monitor to avoid project delays.
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